The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A new family of mathematical models describing the human growth curve
Abstract
A new family of mathematical functions to fit longitudinal growth data is described. All members derive from the differential equation dh/dt = s(t). (h1-h) where h1 is adult size and s(t) is a function of time. The form of s(t) is given by one of many functions, all solutions of differential equations, thus generating a family of different models. Three versions were compared. All were superior to previously described models. Model 1, in which s(t) was defined by ds/dt = (s1 - s)(s - s0) was especially accurate and robust, containing only five parameters to describe growth in stature from age two to maturity. Derived "biological" parameters such as Peak Height Velocity were very consistent between these three members of the family but, in some cases, differed signficantly from previous estimates.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
Marquardt, D. W. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111030 · Cited by 30,728
Cited by
Italian cross-sectional growth charts for height, weight and BMI (2 to 20 yr)
Cacciari, E., Milani, S., Balsamo, A., Spada, E., Bona, G., Cavallo, L., Cerutti, F., Gargantini, L., Greggio, N., Tonini, G., et al. (2006) · Journal of Endocrinological Investigation · doi:10.1007/bf03344156 · Cited by 813
McArdle, J. J., Ferrer-Caja, E., Hamagami, F., & Woodcock, R. W. (2002) · Developmental Psychology · doi:10.1037/0012-1649.38.1.115 · Cited by 544
Burger, H. G., Dudley, E. C., Cui, J., Dennerstein, L., & Hopper, J. L. (2000) · The Journal of Clinical Endocrinology & Metabolism · doi:10.1210/jcem.85.8.6740 · Cited by 439
Steckel, R. H. (1986) · The Journal of Economic History · doi:10.1017/s0022050700046842 · Cited by 278
Growth as a mirror of the condition of society: secular trends and class distinctions
Tanner, J. M. (1987) · Pediatrics International · doi:10.1111/j.1442-200x.1987.tb00015.x · Cited by 262
Metadata
- Authors
- Preece, M. A., & Baines, M. J.
- Venue
- Annals of Human Biology
- Publisher
- Informa UK Limited
- Published
- 1978-01
- Volume
- 5
- Issue
- 1
- Pages
- 1-24
- ISSN
- 0301-4460 (ISSN-L)
- 1464-5033
- OpenAlex
- W2032890058
- Cited by
- 505
- References
- 1
- FWCI
- 4.71
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
